Friction between the City Council and Mayor Bloomberg is on the rise, with the council voting to override two mayoral vetoes a day after council members spoke out against a centerpiece of Mr. Bloomberg’s environmental sustainability plan, a congestion pricing scheme to charge drivers $8 to enter parts of Manhattan.

Yesterday’s override votes and the contention about congestion pricing represent a rare show of dissent for Speaker Christine Quinn, who has established a cooperative and congenial relationship with the mayor since being elected to the leadership post last year. She supported both override votes and said in a statement she has concerns about congestion pricing. She is considered a likely mayoral candidate.

As a result of the council votes, metal baseball bats will be banned from high school games and the number of pedicabs allowed to operate in the city will be capped at 325. Ms. Quinn said both bills are safety measures.

Although Ms. Quinn had said the council would override the mayor’s veto of the pedicab bill, pedicab drivers and environmental organizations joined together in recent days to urge council members to uphold the veto, arguing that by backing the bill members were voting against the environment and green businesses. Overriding a mayoral veto requires 34 votes.

“We have to balance the reality of wanting to have more green vehicles of all sorts on our streets with the reality that you have to regulate industries that use the streets of New York to make money,” Ms. Quinn said. “This is the only industry out there of that nature that has never been regulated. We’re saying that they have to not just be green, but be green and be safe.”

Emily Giske, a lobbyist at Bolton-St. Johns Inc., a group hired by the Committee for Taxi Safety to lobby the council on the pedicab bill, is considered by many to be close to Ms. Quinn. In 2006, the taxi committee paid the firm $98,000 for its lobbying work at City Hall, according to lobbyist reports on file with the city.

Ms. Quinn said there was no “undue influence” on this bill. She has said Ms. Giske does not lobby for the taxi industry and has never lobbied her on the bill.

A lobbyist for the pedicab industry, Chad Marlow, said pedicab drivers are considering suing the city over the law, which bans electric pedal assists from the bicycles and requires drivers to carry $2 million in insurance.

Those opposed to the bat ban also plan to take action. A newfound coalition of coaches, players, youth baseball fans, and bat manufacturers said yesterday it is going to sue the city in federal court, calling for an immediate and permanent injunction against the law.

Proponents of the bat ban say metal bats are dangerous because they propel baseballs farther and faster than wooden bats.

A former coach and vice president of the Catholic High School Athletics Association, Charlie O’Donnell, said in a statement that the council “really struck out on this one.”

“High school players everywhere else will still use metal bats, and colleges all use metal. Since metal bats have a bigger sweet spot and don’t break, they help raise batting averages,” he said. “So banning metal bats hurts New York City kids seeking a college scholarship or spot on the team because their stats will be lower. This is a bad law. It should have never passed, and Mayor Bloomberg was right to veto it.”

A Southern California-based baseball bat manufacturer, Easton Sports, spent more than $134,000 lobbying the council to oppose the bill, according to lobbyist reports filed with the city. Records covering lobbying activities in 2007 have not yet been posted on the city clerk’s Web site.

Thirty-seven council members voted to override the mayor’s veto of the pedicab bill. Council Members Tony Avella, Charles Barron, Helen Foster, Alan Gerson, Hiram Monserrate, and Albert Vann voted against it. Council Members Gale Brewer and Darlene Mealy abstained.

The baseball bat bill was upheld by a vote of 41 – 4, with no abstentions. Council Members Tony Avella, Erik Martin Dilan, Daniel Garodnick and David Weprin voted against the override.

Council Members Maria Baez, Melinda Katz, Jessica Lappin, Rosie Mendez, and Annabel Palma were listed as absent from the meeting.